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On 04.10.2024 13:00, joes wrote:No, every term is defined, but YOUR logic can't handle them, since it only handles finite sets, and thus started off broken.
> Am Fri, 04 Oct 2024 11:33:02 +0200 schrieb WM:
>> I know that all numbers which you can choose have ℵ₀ successors.
>> Therefore the collection containing all numbers which you can choose has
>> ℵ₀ successors.
> I don’t believe anything. The rules of logic which you are so fond of
> simply do not admit that deduction in general (i.e. it is wrong).
It is prove correct by the impossibility to circumvent it: all numbers which you can choose have ℵ₀ successors. That is essential, not your "rules".
> What do you mean with the successor of a collection anyway?
Between every defined element of the collection and ω, there are ℵ₀ undefinable successors.
Regards, WM
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